APPM 2360 Midterm: appm2360spring2014exam2
Document Summary
On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section, (4) your instructor"s name, and (5) a grading table. Books, class notes, cell phones, and calculators are not permitted. Problem 1: (35 points) let the matrix a and column vector ~b be given by: Why or why not? (c) compute a 1. (d) use a 1 to solve the system a~x = ~b. (e) what is (cid:0)at(cid:1) 1 (f) what is (cid:12)(cid:12) Problem 2: (30 points) consider the following system of ode"s: In answering the following questions, ensure that the graph is large enough to be read easily. In the x-y plane: (a) find and plot all equilibrium points. (b) find and plot the vertical nullclines. Indicate the direction of the vector eld on the vertical nullclines. (c) find and plot the horizontal nullclines.
